Dyer-Lashof operations in the string topology of spheres and projective spaces

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Abstract

We compute the 2-primary Dyer-Lashof operations in the string topology of several families of manifolds, specifically spheres and a variety of projective spaces. These operations, while well known in the context of iterated loop spaces, give a collection of homotopy invariants of manifolds new to string topology. The computations presented here begin an exploration of these invariants.

Original languageEnglish (US)
Pages (from-to)711-727
Number of pages17
JournalMathematische Zeitschrift
Volume250
Issue number3
DOIs
StatePublished - Jul 2005

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